{
  "titles": [
    {
      "title": "Young integrals and SPDEs"
    }
  ],
  "creators": [
    {
      "name": "Lejay, Antoine",
      "nameType": "Personal",
      "familyName": "Lejay",
      "givenName": "Antoine"
    },
    {
      "name": "Gubinelli, Massimiliano",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "Massimiliano"
    },
    {
      "name": "Tindel, Samy",
      "nameType": "Personal",
      "familyName": "Tindel",
      "givenName": "Samy"
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2004,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "1",
  "url": "https://arxiv.org/abs/math/0407294v1",
  "dates": [
    {
      "date": "2004-07-16",
      "dateType": "Issued"
    },
    {
      "date": "2004-07-16",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex"
  ],
  "subjects": [
    {
      "subject": "math.PR",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.FA",
      "subjectScheme": "arXiv"
    }
  ],
  "rightsList": [
    {
      "rights": "arXiv.org non-exclusive license to distribute, assumed for submissions of 1991-2003; all other rights reserved to the authors",
      "rightsUri": "http://arxiv.org/licenses/assumed-1991-2003/"
    }
  ],
  "descriptions": [
    {
      "description": "In this note, we study the non-linear evolution problem $dY_t = -A Y_t dt + B(Y_t) dX_t$, where $X$ is a $\\gamma$-Hölder continuous function of the time parameter, with values in a distribution space, and $-A$ the generator of an analytical semigroup. Then, we will give some sharp conditions on $X$ in order to solve the above equation in a function space, first in the linear case (for any value of $\\gamma$ in $(0,1)$), and then when $B$ satisfies some Lipschitz type conditions (for $\\gamma>1/2$). The solution of the evolution problem will be understood in the mild sense, and the integrals involved in that definition will be of Young type.",
      "descriptionType": "Abstract"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:math/0407294v1",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.math/0407294",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    }
  ]
}